From Continuum Fokker-Planck Models to Discrete Kinetic Models
نویسندگان
چکیده
منابع مشابه
From continuum Fokker-Planck models to discrete kinetic models.
Two theoretical formalisms are widely used in modeling mechanochemical systems such as protein motors: continuum Fokker-Planck models and discrete kinetic models. Both have advantages and disadvantages. Here we present a "finite volume" procedure to solve Fokker-Planck equations. The procedure relates the continuum equations to a discrete mechanochemical kinetic model while retaining many of th...
متن کاملExistence of Global Weak Solutions to Fokker–planck and Navier–stokes–fokker–planck Equations in Kinetic Models of Dilute Polymers
This survey paper reviews recent developments concerning the existence of global weak solutions to Fokker–Planck equations with unbounded drift terms, and coupled Navier–Stokes–Fokker–Planck systems of partial differential equations, that arise in finitely extensible nonlinear elastic (FENE) type kinetic models of incompressible dilute polymeric fluids in the case of general noncorotational flow.
متن کاملOn Vlasov-Fokker-Planck Type Kinetic Models for Multilane Traffic Flow
Abstract. We discuss rationales for kinetic descriptions of traffic dynamics and present a class of new models of VlasovFokker-Planck type. These models incorporate (nonlocal and time-delayed) braking and acceleration terms which are consistent with realistic time scales. Correlation assumptions are made such that braking and acceleration terms depend only on macroscopic densities and the relat...
متن کاملBoltzmann-Fokker-Planck Equations as a Foundation of Behavioral Models
It is shown, that the Boltzmann-like equations allow the formulation of a very general model for behavioral changes. This model takes into account spontaneous (or externally induced) behavioral changes and behavioral changes by pair interactions. As most important social pair interactions imitative and avoidance processes are distinguished. The resulting model turns out to include as special ca...
متن کاملNew velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions
Numerical techniques for discretization of velocity space in continuum kinetic calculations are described. An efficient spectral collocation method is developed for the speed coordinate – the radius in velocity space – employing a novel set of non-classical orthogonal polynomials. For problems in which Fokker-Planck collisions are included, a common situation in plasma physics, a procedure is d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Biophysical Journal
سال: 2005
ISSN: 0006-3495
DOI: 10.1529/biophysj.104.055178